The quotient for the division of given decimal numbers is 62.
Given that, 142.6 divided by 2.3.
The division is one of the basic arithmetic operations in math in which a larger number is broken down into smaller groups having the same number of items.
Here, 142.6 divided by 2.3 \(=\frac{142.6}{2.3}\)
\(=62\)
Therefore, the quotient for the division of given decimal numbers is 62.
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36=12d is a proportional or Non-proportional? Explain
Answer:
non-proportional
Step-by-step explanation:
This equation is non-proportional. A proportional equation contains 2 variables where one is proportional to the other. An example would be:
y = 5x
Y is proportional to the value of X at a rate of 5. 5 is the "constant of variation", or the "constant of proportionality"
36 = 12d is not proportional because there is only one variable. That variable can be solved for, giving only one solution.
proportional:
"corresponding in size, degree or intensity"
"having the same or a constant ratio"
An investment firm invested in two companies last year. They invested $12,000 in Company A and made a profit of 14%. They
invested $8000 in Company B and made a profit of 21%.
Answer the questions below. Do not do any rounding.
(a) What was the investment firm's total profit?
$0
(b) What was the percent profit for their total investment?
The investment firm's total profit is $ 3360 and the percent profit for their total investment is 16.8%.
How to calculate percentage of a situation?
A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The proportion therefore refers to a component per hundred. Per 100 is what the word percent means. The letter "%" stands for it. There is no dimension to percentages. As a result, it is known as a dimensionless number. When we say a number is 50% of anything, we mean that it is 50% of everything.
Formula for percentages: (Value/Total value) * 100
Given, amount invested in company A = $ 12,000
Amount invested in company B = $ 8000
Profit earned by company A = 14%
Profit earned by company B = 21%
Amount in profit earned from company A = (12000*14)/100 = $ 1680
Amount in profit earned from company B = (8000*21)/100 = $ 1680
Therefore total profit of the investment firm = $ (1680 + 1680) = $ 3360
Thus, the investment firm's total profit is $ 3360.
Now, percentage profit of total investment = (3360/20000)*100 = 16.8%, using available literature and formula.
Thus, the percent profit for their total investment is 16.8%
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Find each angle measure
Answer:
5. 142 180-38=142
6. 128 180-52=128
7. 90 180-90=90
8. 52 Vertical Angle
en una escuela por cada 5 estudiantes hombres hay 13 estudiantes mujeres si en total de los estudiantes es de 34,000 ¿cuántos hombre y mujeres hay ?
There are 9444 men and 24555 females are present.
What is Fraction?The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.
The number of parts into which the whole has been divided is shown by the denominator. It is positioned in the fraction's lower portion, below the fractional bar.How many sections of the fraction are displayed or chosen is shown in the numerator. It is positioned above the fractional bar in the upper portion of the fraction.Given:
Total students = 34000
For every 5 male students there are 13 female students.
So, the number men are
= 5/18 x 34000
= 9444
and, number of women
= 13/ 18 x 34000
= 24, 555.
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The question attached here is in other language whose translation is given below.
In a school for every 5 male students there are 13 female students. If the total number of students is 34,000, how many men and women are there?
If the rate of inflation averages r per annum over n years, the amount A that $P will purchase after n years is AequalsP(1minusr)Superscript n, where r is expressed as a decimal. If the average inflation rate is 4.8%, how long is it until the purchasing power is cut in half?
Answer:
14 years
Step-by-step explanation:
here;
A = P(1-r)^n
we want to cut the purchasing power by half. What this means is that we will be making the amount half of what it used to be
what we want to calculate here is the value of n that makes A = P/2
r = 4.8% = 4.8/100 = 0.048
P/2 = P(1-0.048)^n
take off p from both sides
0.5 = 0.952^n
Take the log of both sides
log 0.5 = log 0.952^n
log 0.5 = n log 0.952
n = log 0.5/log 0.952 = 14.01
Which means the number of years is 14
Johnny uses a wheelbarrow to move planting soil to a delivery truck. The volume of planting soil that fits in the wheelbarrow measures
2
2 feet by
3
3 feet by
1.5
1.5 feet. The delivery truck measures
11
11 feet by
8
8 feet and is
6
6 feet tall. Johnny puts planting soil in the delivery truck until the truck is
70
70% full.
What is the minimum number of times Johnny needs to use the wheelbarrow until the delivery truck is
70
70% full?
The minimum number of times Johnny needs to use to the wheelbarrow until the delivery truck is filled up to 70%, whereby the shape of the truck is a rectangular prism is about 41 times
What is a rectangular prism?A rectangular prism is a three dimensional geometric figure with three pairs of parallel facing sides, and perpendicular adjacent faces.
Whereby the wheelbarrow and the truck are rectangular prisms, we get;
The dimensions of the wheel barrow are;
2 feet by 3 feet by 1.5 feet
The dimensions of the truck are;
11 feet by 8 feet by 6 feet
The amount of soil John puts in the truck = 70% of the volume of the truck
Therefore;
The amount of soil John puts in the truck = 11 feet × 8 feet × 6 feet × 70%
11 feet × 8 feet × 6 feet × 70% = 528 ft³ × 70% = 369.6 ft³
The number of times to use the wheelbarrow, n, is therefore;
n = 369.6 ft³ ÷ (2 ft × 3 ft × 1.5 ft) ≈ 41.0
The minimum number of times Johnny needs to use the wheelbarrow until the delivery truck is 70% filled is therefore 41 = 41 times
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the equation below represents the total price of Michigan State University per semester where c represents the number of classes and t represents the total cost for the semester including a one time fee for room and board
The equation that represents the total price of Michigan State University per semester is determined by the number of classes taken (c) and the total cost for the semester, which includes a one-time fee for room and board (t).
The equation captures the relationship between these variables and calculates the overall cost for a student attending the university. It is important to note that the equation provides a quantitative representation and does not take into account other factors such as scholarships, financial aid, or additional expenses. Therefore, the equation serves as a useful tool for estimating the total cost of attending Michigan State University, allowing students and their families to plan and budget accordingly for their education.For such more question on equation
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Plz help I’ll mark u
Answer:
SAS=side angle side
there is two side and one angle
Answer:
SAS theorem
explanation:
consider randomly selecting a student who is among the 14,000 registered for the current semester in a college. let be the number of courses the selected student is taking, and suppose that has the following probability distribution: X 1 2 3 4 5 6 7 F(x) 0.02 0.01 0.20 0.17 0.39 0.20 0.01 find the 30th percentile of this distribution.
So,the value of the 30th percentile of the given data will be =P30=4
The cumulative distribution function of a real-valued random variable X, or simply the distribution function of X, assessed at x, is the likelihood that X will have a value less than or equal to x in probability theory and statistics.
Using the Cumulative Distribution Function to Calculate Probabilities
F(x) is a cumulative distribution function that calculates the likelihood that the random variable X is smaller than or equal to x:
To get the cumulative probability that X is less than or equal to 1, multiply P(X=0) by P(X = 0) by (P=1):
First, we will determine the value of the cumulative probability P(X<=x):
x f(x) P(X<=x)
1 0.02 0.02
2 0.01 0.03
3 0.2 0.23
4 0.17 0.4
5 0.39 0.79
6 0.2 0.99
7 0.01 1
30th percentile will be the x value,
below which less than or equal to 30% of the data falls.
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Please help me with this math problem (simplify the expressions and please show work)
(5x^4 y^5)∙(2x^2 y^(-5))
9514 1404 393
Answer:
10x^6
Step-by-step explanation:
The applicable rule of exponents is ...
(a^b)(a^c) = a^(b+c)
__
\((5x^4y^5)(2x^2y^{-5})=(5)(2)(x^{4+2})(y^{5-5})=10x^6y^0=\boxed{10x^6}\)
algebra help please!!!!!!!
Answer:
The answer is c I hope this helps
how to convert 85,592 in³ into ft³
A. 7132.67 ft³
B. 594.39 ft³
C. 1,207,104 ft³
D. 49.53ft³
Answer:
49.532
Step-by-step explanation:
This is your answer plz Mark me as brain list
10 ft
8 ft
Help Resources
Skip
6 ft
Find the outer perimeter of this figure.
Round your answer to the nearest
hundredth. Use 3.14 to approximate a.
P = [?] ft
Notice that only half of the circle is included in the figure!
Enter
Answer:
P=28.56 ft
Step-by-step explanation:
P= Side1 +Side2 + 0.5 circle
P=10+6+ πDiam/2=16+4π=28.56 ft
Answer:
28.56ft
Step-by-step explanation:
what is the value of 7 in the number 21,780
Answer:
It us in the hundreds place . Hope that helps !
please help me with this thank you
(9) The slope of a line perpendicular to the line, f(x) = 0.75x + 6 is - 4/3.
(10) The slope of a line parallel to this line, y = 10 -8x is -8.
What is the slope of a line perpendicular to the line?The slope of a line perpendicular to the line is the negative reciprocal of the slope of the line equation.
Question 9.
f(x) = 0.75x + 6
where;
0.75 is the slope of the line6 is the interceptThe slope of a line perpendicular to this line = -1/0.75 = -100/75 = -4/3
Question 10.
For the equation of another line, y = 10 - 8x
The slope of a line parallel to this line is equal to the slope of this line and it is calculated as follows;
y = 10 - 8x
where;
-8 is the slope10 is the y interceptslope of a line parallel to the line = -8
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I need some help with this problem
Answer:(-(3x^(3)-x-1))/((x^(2)+1)^(2))
Pls help! Due today :,)
The student council wants to rent a ballroom for the junior prom. The ballroom's rental rate is 1500 for 3 h and $125 for each additional half-hour. Suppose the student council raises $2125. What is the maximum number of hours for which they can rent the ballroom?
I got it wrong..............
.......
1500 + 5 × 125 = $ 2125
3h + 5 × 1/2 h =
3h + 2.5 h = 5.5 h
Thus they can rent the ballroom for 5.5 hours .
WILL GIVE BRAINLIEST IF YOU HELP ME
Answer:
D. Point S
Step-by-step explanation
The opposite of -5.5 is 5.5, therefore since Point S is at 5.5 on the number line, the answer is D.
Highschool geometry please answer questions 8-10 in the attachment added
multipy (2c-1) (7c-5)
Answer:
2.8 or 2 4/5
Step-by-step explanation:
2c*7c= 14c
1*5= 5
14c/5=
Answer:
14c^2 - 17c + 5
Step-by-step explanation:
hope to get a brainliest hope you the bsat on it have a good day:)
What do you know about these two lines?
y = 6x - 1
y = -6x - 4
A: The lines are parallel because their slopes are the same.
B: The lines are perpendicular because the slopes are opposites reciprocals
C: The lines are neither parallel nor perpendicular, they just intersect.
Explanation:
Refer to the y = mx+b form
m = slopeb = y interceptThe slopes are the only thing we focus on. For the equations y = 6x-1 and y = -6x-4, the slopes are 6 and -6 in that order.
The slopes are not equal, so the lines aren't parallel.
The slopes aren't opposite reciprocals of one another, so they aren't perpendicular either. An example of an opposite reciprocal pairing would be 6 and -1/6. Any pair of nonzero opposite reciprocal slopes always multiply to -1.
Therefore, the two lines are neither parallel nor perpendicular, they just intersect.
What is the solution to the equation StartFraction m Over m + 4 EndFraction + StartFraction 4 Over 4 minus m EndFraction = StartFraction m squared Over m squared minus 16 EndFraction? m = –4 m = –2 m = 2 m = 4
The solution to the equation is mathematically given as
m=-2
This is further explained below.
What is the solution to the equation?Generally, the equation is mathematically given as
\(\frac{m}{m+4}+\frac{1}{4-m}=\frac{m^2}{m^2-16}\)
Where
The LCM of the denominators are
m^2-16=(m+4)(m-4)
Hence
\((m+4)(m-4)\left(\frac{m}{m+4}+\frac{4}{4-m}\right)=(m+4)(m-4) \cdot \frac{m^2}{m^2-16} \\\)
m(m-4)-4(m+4)=m^2
m^2-4 m-4 m-16=m^2
8 m=-16
m=-2
In conclusion, the solution to the equation is
m=-2
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Answer:m=-2
Step-by-step explanation:
just answered
Find the surface area
Answer: 120 yds
Step-by-step explanation:
48+30+24+18+120 yds
use the function f(x) = 3x+8. evaluate the function for f(1). 8, 11, 3
Answer: 11
Step-by-step explanation:
F(1) = 3(1) + 8
F(1) = 3 + 8
F(1) = 11
You just substitute the x in for 1 and solve from there.
Which ratios have a unit rate of 3
The ratios that have the unit rate 3 are;
1). 2 1/2 cups; 5/6 cups.
3). 15/2 cups; 2 1/2 cup.
6). 2 cups; 2/3 cup.
What is division?The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.
Given:
A unit rate of 3.
That means the quotient of the total amount of cups by the amount in a cup.
From the given choices;
1). 2 1/2 cups; 5/6 cups.
The unit rate = 5/2 x 6/5 = 3
2). 3 3/4 cups; 2 cup.
The unit rate = 15/4 x 1/2 = 15/8
3). 15/2 cups; 2 1/2 cup.
The unit rate = 15/2 x 2/5 = 3
6). 2 cups; 2/3 cup.
The unit rate = 3.
Therefore, all the required values are given above.
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Natasha is assigned the task of creating a few auxiliary views of certain objects. She wants to project a view onto a plane that is perpendicular to one of the principal planes of projection. Which type of auxiliary view should she use?
Given
Natasha is assigned the task of creating a few auxiliary views of certain objects. She wants to project a view onto a plane that is perpendicular to one of the principal planes of projection.
Find
Which type of auxiliary view should she use?
Explanation
as she wants to project a view onto a plane that is perpendicukar to one of the principal planes of projection.
so , she will use Primary Auxiliary view
Final Answer
So, She use Primary Auxiliary view
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The value of a, b, c and d are 25, 3, 14 and 7 such that the sum of all rows, columns and diagonals are 48.
Given to us a magic square in which the sum of all rows, columns and diagonals are same. Then, we have to complete the missing numbers i.e., a, b, c and d respectively.
Let's proceed to solve this magic square accordingly.
First let's calculate that what will be the sum of all rows, columns and diagonals.
From the figure of magic square one diagonal is completely filled from that we can easily calculate the sum of the diagonals.
Sum = 5+16+27 = 48
Then, we can find the value of a, b, c and d easily.
5+a+18 = 48
23+a = 48
a = 48-23
a = 25
Therefore, the value of a is 25.
29+16+b = 48
45+b = 48
b = 48-45
b = 3
Therefore, the value of b is 3.
Now, 5+29+c = 48
34+b = 48
c = 48-34
c = 14
Therefore, the value of c is 14.
Then, we have
c+d+27 = 48
14+d+27 = 48
41+d = 48
d = 48-41
d = 7
Therefore, the value of d is 7.
Hence, we have completed the magic square in which the sum of all rows, columns and diagonals are 48.
Therefore, the value of a, b, c and d are 25, 3, 14 and 7 respectively.
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There are two separate, equal-size boxes, and inside each box there are 5 separate small boxes, and inside each of the small boxes there are 3 even smaller boxes. How many boxes are there all together?
Answer:
42
Step-by-step explanation:
2+10+3*10 =42 because there are 2 boxes inside each there are 5 then inside each boxes are 3
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9514 1404 393
Answer:
(a) MN/NP
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you that the cosine relation is ...
Cos = Adjacent/Hypotenuse
The triangle similarity statement tells you angle Q is congruent to angle N. The side adjacent to angle N is side MN, and the hypotenuse of triangle NPM is NP. Then the desired ratio is ...
cos Q = MN/NP . . . . . . matches upper left choice
Alisson is normally given $x each month; but in November she was given $9 more than thrice her usual amount. In November she was give
Answer:
Alisson
In November, Alisson was given $12.
Step-by-step explanation:
The normal amount given to Alisson each month = $x
If in November Alisson was given $9 more than thrice her usual amount of $x, it implies that she was usually given $3 ($9/3) per month because $9 is three times (thrice) than $3.
Therefore, Alisson's usual amount per month which is $x = $3
This implies that in November she was given $12 ($3 + $9), which was thrice more.
To check the correctness of the above reasoning, we recall that $12 is more by $9 than $3, and $9 is thrice than the $3 given to Alisson per month.